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Finding the Third Proportional to 115,710,664.50 and 247,114,080

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Solution

The third proportional to 115,710,664.50 and 247,114,080 is: 527,741,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,710,664.50 : 247,114,080 = 247,114,080 : x
  2. Step 2: Convert to fraction form
    115,710,664.50/247,114,080 = 247,114,080/x
  3. Step 3: Cross multiply
    115,710,664.50x = 247,114,080 × 247,114,080
  4. Step 4: Simplify right side
    115,710,664.50x = 61,065,368,534,246,400
  5. Step 5: Solve for x
    x = 61,065,368,534,246,400/115,710,664.50
  6. Step 6: Final answer
    x = 527,741,922.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.